Tasha has foam blocks stored in a box that measures 3 1/4 ft long by 3 ft wide by 1 ft tall. Each foam block is a cube with 1/4 -ft edge length. How many blocks can fit into the box?

Question

156
312
624
2496

Answer 1

since the small blocks fit evenly into the large block, the large block, in small block units, is 13x12x4 units.

Or, get the number of small units by dividing volumes:
(3 1/4)(3)(1) / (1/4)

Answer 2

Vb = L*W*h = 13/4*3*1 = 39/4 = 9 3/4 Ft^3.
Vc = L*W*h = 1/4*1/4*1/4 = 1/64 Ft^3.

Vb/Vc = (39/4)/(1/64) = 39/4 * 64/1 = 624 blocks.